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Finding the Third Proportional to 81,146,494 and 125,669,463

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Solution

The third proportional to 81,146,494 and 125,669,463 is: 194,621,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,146,494 : 125,669,463 = 125,669,463 : x
  2. Step 2: Convert to fraction form
    81,146,494/125,669,463 = 125,669,463/x
  3. Step 3: Cross multiply
    81,146,494x = 125,669,463 × 125,669,463
  4. Step 4: Simplify right side
    81,146,494x = 15,792,813,930,708,368
  5. Step 5: Solve for x
    x = 15,792,813,930,708,368/81,146,494
  6. Step 6: Final answer
    x = 194,621,026.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.